151192657225 has 27 divisors (see below), whose sum is σ = 197913891573. Its totient is φ = 114560123040.

The previous prime is 151192657219. The next prime is 151192657261. The reversal of 151192657225 is 522756291151.

The square root of 151192657225 is 388835.

It is a perfect power (a square), and thus also a powerful number.

151192657225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7715338569 + 143477318656 = 87837^2 + 378784^2 .

It is not a de Polignac number, because 151192657225 - 2²³ = 151184268617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36937279 + ... + 36941371.

Almost surely, 2^151192657225 is an apocalyptic number.

151192657225 is the 388835-th square number.

151192657225 is the 194418-th centered octagonal number.

It is an amenable number.

151192657225 is a deficient number, since it is larger than the sum of its proper divisors (46721234348).

151192657225 is an frugal number, since it uses more digits than its factorization.

151192657225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234 (or 4117 counting only the distinct ones).

The product of its digits is 378000, while the sum is 46.

The spelling of 151192657225 in words is "one hundred fifty-one billion, one hundred ninety-two million, six hundred fifty-seven thousand, two hundred twenty-five".